This article is cited in 13 papers

Truncation of systems of polynomial equations, ideals and varieties

B. Ya. Kazarnovskii

Scientific Technical Centre "Informregistr"

Abstract: The main result of this paper is the construction of special so-called locked polynomial ideals to represent systems of equations, and to enable the behaviour of the corresponding algebraic varieties at infinity to be controlled. A consequence of this result is the existence, modulo the action of tori, of a standard minimal toric compactification of an irreducible two-dimensional variety.

MSC: Primary 14M25; Secondary 13F20

Received: 13.10.1997

DOI: 10.4213/im244

 English version: Izvestiya: Mathematics, 1999, 63:3, 535–547

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